Extension of Chaplygin's existence and uniqueness method for fractal-fractional nonlinear differential equations

• Published in: AIMS mathematics Vol. 9; no. 3; pp. 5763 - 5793
• Main Authors: Atangana, Abdon, Araz, Seda İğret
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2024
• Subjects: chaplygin's method; existence and uniqueness; fractal-fractional differentiation and integration

The existence and uniqueness of solutions to nonlinear ordinary differential equations with fractal-fractional derivatives, with Dirac-delta, exponential decay, power law, and generalized Mittag-Leffler kernels, have been the focus of this work. To do this, we used the Chaplygin approach, which enta...